Replace custom Nelder-Mead with modular Optim.jl wrapper

[Copilot]

The multiobjective optimization example used a hand-rolled ~90-line Nelder-Mead implementation. This replaces it with a modular wrapper around Optim.jl, making it trivial to swap derivative-free methods.

Changes

• Project.toml: Add Optim.jl (v2.0.1) dependency
• examples/multiobjective_optimization.jl:
  • Remove custom nelder_mead_maximize function
  • Add outer_optimization that delegates to Optim.jl, auto-detecting whether a method needs Fminbox wrapping (e.g. NelderMead) or has native bounds support (ParticleSwarm, SAMIN)
  • Net reduction of ~25 lines

Usage

Switching the outer optimizer is a single-line change:

outer_method = NelderMead()                        # default, via Fminbox
# outer_method = SAMIN()                           # simulated annealing, native bounds
# outer_method = ParticleSwarm(; n_particles = 5)  # particle swarm, native bounds

result = outer_optimization(outer_objective, t_stage_init, t_stage_lower, t_stage_upper;
    method = outer_method, max_iter = max_outer_it)

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• https://api.github.com/repos/jamesrhester/Lerche.jl/tarball/a8e6b29b7e7da0ffd76d7830a41add08a3f1674e
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/jkrumbiegel/Animations.jl/tarball/e092fa223bf66a3c41f9c022bd074d916dc303e7
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/jkrumbiegel/GridLayoutBase.jl/tarball/93d5c27c8de51687a2c70ec0716e6e76f298416f
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/jkrumbiegel/Isoband.jl/tarball/f9b6d97355599074dc867318950adaa6f9946137
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/johnnychen94/LazyModules.jl/tarball/a560dd966b386ac9ae60bdd3a3d3a326062d3c3e
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/julia-vscode/TestItems.jl/tarball/42fd9023fef18b9b78c8343a4e2f3813ffbcefcb
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/jw3126/ArgCheck.jl/tarball/f9e9a66c9b7be1ad7372bbd9b062d9230c30c5ce
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/jw3126/Setfield.jl/tarball/c5391c6ace3bc430ca630251d02ea9687169ca68
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/lairez/ExactPredicates.jl/tarball/83231673ea4d3d6008ac74dc5079e77ab2209d8f
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/m-j-w/CpuId.jl/tarball/fcbb72b032692610bfbdb15018ac16a36cf2e406
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/mauro3/Parameters.jl/tarball/34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/mauro3/SimpleTraits.jl/tarball/be8eeac05ec97d379347584fa9fe2f5f76795bcb
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/mauro3/UnPack.jl/tarball/387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/mcabbott/Tullio.jl/tarball/de0febfe1243e89f352abd4ca0e9de6c8e6190c5
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/mcovalt/ILUZero.jl/tarball/b007cfc7f9bee9a958992d2301e9c5b63f332a90
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/moyner/MultiComponentFlash.jl/tarball/4c01ab9ed1d46adc1e4b4964bf9874144d3139f6
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/pazner/TriplotBase.jl/tarball/4d4ed7f294cda19382ff7de4c137d24d16adc89b
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/queryverse/DataValueInterfaces.jl/tarball/bfc1187b79289637fa0ef6d4436ebdfe6905cbd6
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/queryverse/IteratorInterfaceExtensions.jl/tarball/a3f24677c21f5bbe9d2a714f95dcd58337fb2856
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/queryverse/TableTraits.jl/tarball/c06b2f539df1c6efa794486abfb6ed2022561a39
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/rafaqz/Extents.jl/tarball/b309b36a9e02fe7be71270dd8c0fd873625332b4
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/rdeits/CommonSubexpressions.jl/tarball/cda2cfaebb4be89c9084adaca7dd7333369715c5
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/rofinn/FilePaths.jl/tarball/919d9412dbf53a2e6fe74af62a73ceed0bce0629
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/rofinn/FilePathsBase.jl/tarball/3bab2c5aa25e7840a4b065805c0cdfc01f3068d2
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/ronisbr/PrettyTables.jl/tarball/1101cd475833706e4d0e7b122218257178f48f34
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/ronisbr/StringManipulation.jl/tarball/d05693d339e37d6ab134c5ab53c29fce5ee5d7d5
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/simonster/Reexport.jl/tarball/45e428421666073eab6f2da5c9d310d99bb12f9b
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/sintefmath/GeoEnergyIO.jl/tarball/f14a7830705ee18057587f703ddbcd0d7a583e35
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/sintefmath/Jutul.jl/tarball/f44c3e22869daf587ca90d7334744c46857c6761
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/sintefmath/JutulDarcy.jl/tarball/d8efec28a4c07a334e6ba9a583a943d49444bd63
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/stemann/WebP.jl/tarball/aa1ca3c47f119fbdae8770c29820e5e6119b83f2
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/tecosaur/BaseDirs.jl/tarball/bca794632b8a9bbe159d56bf9e31c422671b35e0
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/timholy/AxisAlgorithms.jl/tarball/01b8ccb13d68535d73d2b0c23e39bd23155fb712
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/timholy/PositiveFactorizations.jl/tarball/17275485f373e6673f7e7f97051f703ed5b15b20
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/timholy/ProgressMeter.jl/tarball/fbb92c6c56b34e1a2c4c36058f68f332bec840e7
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/timholy/Ratios.jl/tarball/1342a47bf3260ee108163042310d26f2be5ec90b
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/tlnagy/TiffImages.jl/tarball/08c10bc34f4e7743f530793d0985bf3c254e193d
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/twadleigh/OpenEXR.jl/tarball/97db9e07fe2091882c765380ef58ec553074e9c7
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• https://api.github.com/repos/vchuravy/HashArrayMappedTries.jl/tarball/2eaa69a7cab70a52b9687c8bf950a5a93ec895ae
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (http block)
• pkg.julialang.org
  • Triggering command: /usr/bin/julia julia --project=. -e using Pkg; Pkg.add("Optim"); println("Optim added successfully") (dns block)
  • Triggering command: /usr/local/julia1.12.5/bin/julia /usr/local/julia1.12.5/bin/julia -C native -J/usr/local/julia1.12.5/lib/julia/sys.so -g1 --output-o /home/REDACTED/.julia/compiled/v1.12/GeoEnergyIO/jl_rLkhBX --output-ji /home/REDACTED/.julia/compiled/v1.12/GeoEnergyIO/jl_joxbsi --output-incremental=yes --startup-file=no --history-file=no --warn-overwrite=yes --color=yes - (dns block)

If you need me to access, download, or install something from one of these locations, you can either:

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